Homework SourseIn a study of the progeny of rabbits Fibonacci ca 1170ca 124
In a study of the progeny of rabbits, Fibonacci (ca. 1170-ca. 1240) encountered the sequence now bearing his name. The sequence is defined recursively as follows.
(a) Write the first 12 terms of the sequence.
(b) Write the first 10 terms of the sequence defined below. (Round your answers to four decimal places.)
| an + 1/ |
| an |
Solution
a)0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89
b) bn= 1/0(not defined) , 1.0000,2.0000,1.500 , 1.6666 , 1.6000,1.6250 ,1.6153 ,1.6190 ,1.6176
c) the golden ratio = 1.61803399
